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Finding the Third Proportional to 165,054 and 246,964

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Solution

The third proportional to 165,054 and 246,964 is: 369,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,054 : 246,964 = 246,964 : x
  2. Step 2: Convert to fraction form
    165,054/246,964 = 246,964/x
  3. Step 3: Cross multiply
    165,054x = 246,964 × 246,964
  4. Step 4: Simplify right side
    165,054x = 60,991,217,296
  5. Step 5: Solve for x
    x = 60,991,217,296/165,054
  6. Step 6: Final answer
    x = 369,522.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.